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» The Nonhomomorphicity of Boolean Functions
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COCO
2010
Springer
144views Algorithms» more  COCO 2010»
15 years 1 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...
GECCO
2008
Springer
120views Optimization» more  GECCO 2008»
14 years 11 months ago
Genetic programming with polymorphic types and higher-order functions
This article introduces our new approach to program representation for genetic programming (GP). We replace the usual s-expression representation scheme by a strongly-typed ion-ba...
Franck Binard, Amy P. Felty
COCO
2006
Springer
93views Algorithms» more  COCO 2006»
15 years 1 months ago
Making Hard Problems Harder
We consider a general approach to the hoary problem of (im)proving circuit lower bounds. We define notions of hardness condensing and hardness extraction, in analogy to the corres...
Joshua Buresh-Oppenheim, Rahul Santhanam
COCO
2006
Springer
118views Algorithms» more  COCO 2006»
15 years 1 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
CC
2007
Springer
108views System Software» more  CC 2007»
14 years 9 months ago
Communication vs. Computation
We initiate a study of tradeoffs between communication and computation in well-known communication models and in other related models. The fundamental question we investigate is t...
Prahladh Harsha, Yuval Ishai, Joe Kilian, Kobbi Ni...